geometry

Two vertical poles 20 meterd and 30 metrrd high, are 60 meters apart. A rope is to be attached from the top of one pole to a point on the ground half-way between the poles and then to the top of other pole. How long a rope is needed?

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  1. Draw a diagram. You have two right triangles with legs
    20,30 and 30,30
    The rope length is the sum of the two hypotenuses:
    √(20^2+30^2) + √(30^2+30^2)
    = 10√13 + 30√2

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